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Finding the Third Proportional to 238.88 and 344.94

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Solution

The third proportional to 238.88 and 344.94 is: 498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 344.94 = 344.94 : x
  2. Step 2: Convert to fraction form
    238.88/344.94 = 344.94/x
  3. Step 3: Cross multiply
    238.88x = 344.94 × 344.94
  4. Step 4: Simplify right side
    238.88x = 118,981.88
  5. Step 5: Solve for x
    x = 118,981.88/238.88
  6. Step 6: Final answer
    x = 498.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.